Properties

Label 2.15.15.1.2
Class number 1
Dimension 2
Determinant 15
Level 15

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Lattice Invariants

Dimension:$2$
Determinant:$15$
Level:$15$
Label:$2.15.15.1.2$
Density:$0.811155735194722379390592154060\dots$
Group order:$4$
Hermite number:$1.03279555898864450271447077328\dots$
Minimal vector length:$4$
Kissing number:$4$
Normalized minimal vectors: $(1, 0)$, $(0, 1)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 4q^{4} \) \(\mathstrut +\mathstrut 2q^{6} \) \(\mathstrut +\mathstrut 2q^{10} \) \(\mathstrut +\mathstrut 8q^{16} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 4 & 1 \\ 1 & 4 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 4 & 1 \\ 1 & 4 \end{array}\right)$
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